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4 years ago

What is the solution to the inequality X+ (7 + 2x) <-3x

Mathematics

1 answer:

dolphi86 [110]4 years ago

3 0

Answer:

$x \: < \:- 1 \frac{1}{6}$

Step-by-step explanation:

The given inequality is

x+ (7 + 2x) <-3x

Expand parenthesis to get

x+ 7 + 2x <-3x

Group similar terms

x+ 2x +3x<-7

Combine similar terms

6x<-7

Divide both sides by 6

$x \: < \: - \frac{7}{6}$

Rewrite as improper fraction

$x \: < \:- 1 \frac{1}{6}$

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The radius of a circle is measured at 15.6cm. The actual radius is 15.3cm. Find, to the nearest percent, the percent error in th

Anon25 [30]

Answer:

$Percentage\hspace{3}error\approx 1.96\%$

Step-by-step explanation:

The error percentage is a measure of how inaccurate a measurement is, standardized based on the size of the measurement. It can be easily calculated using the following formula:

$Percentage\hspace{3}error=|\frac{v_A-v_E}{v_E} | \times 100$

Where:

$v_A=Approximate\hspace{3}value\\v_E=Exact\hspace{3}value$

Therefore, according to the data provided by the problem:

$v_A=15.6\\v_E=15.3$

The percentage error is:

$Percentage\hspace{3}error=|\frac{15.6-15.3}{15.3}| \times 100 = 1.960784314\%\approx 1.96\%$

8 0

4 years ago

Find the distance from point A to XZ. round to nearest 10th!

Lina20 [59]

Answer:

$\large \boxed{4.1}$

Step-by-step explanation:

You want to find the length of AZ.

Create a new point W at (3, -1).

Then we can make a new right triangle AWZ in which AZ is the hypotenuse.

We can apply Pythagoras' Theorem.

$\begin{array}{rcl}AX^{2} & = & AW^{2} + WZ^{2}\\& = & 4^{2} + 1^{2}\\& = & 16 + 1\\& = & 17\\AZ & = & \sqrt{17}\\& \approx & \mathbf{4.1}\\\end{array}\\\text{The distance from A to XZ is } \large \boxed{\mathbf{4.1}}$

4 0

3 years ago

Mia has two cylindrical bird feeders. Her red bird feeder has a diameter of 10 inches and is 8.3 inches tall. What is the volume

Temka [501]

The volume of the red bird feeder will be equal to V=651.88 cubic inches

<h3>What is volume?</h3>

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length,width and height of the cube or Cuboid.

It is given that:-

Diameter = 10 inches

Height = 8.3 inches

Volume=?

Since the feeder is cylindrical so the volume will be calculated as:-

$\rm Volume=\dfrac{\pi }{4}d^2H\\\\\\Volume=\dfrac{\pi }{4}(10)^2(8.3)\\\\\$

V=651.88 cubic inches

Hence volume of the red bird feeder will be equal to V=651.88 cubic inches

To know more about Volume follow

brainly.com/question/1972490

#SPJ1

4 0

3 years ago

Triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2).

kotykmax [81]

Answer:

5y - 6x = 8 or y = 6x/5 + 8/5

Step-by-step explanation:

let M1= gradient of line AB and M2= gradient of the second line

When two lines are perpendicular, the product of their gradients is -1

i.e, M1M2= -1

M2= -1/M1

A(2,9) and B(8,4)

gradient= (y2-y1)/(x2-x1)

M1= (4-9)/(8-2)

= -5/6

M2= -1÷ -5/6

-1 × -6/5= 6/5

Equation of the line passing through C(-3,-2)

[y-(-2)]/[x-(-3)= 6/5

(y+2)/(x+3)= 6/5

5(y+2)= 6(x+3)

5y+10=6x+18

5y= 6x + 8

y= 6x/5 + 8/5

7 0

3 years ago

Find the slope of the line that passes through (-2, -44) and (-1, -70).

Sveta_85 [38]

Let m = slope of the line.

m = delta y/delta x

m = (-70 -(-44)/(-1 -(-2)

m = (-70 + 44)/(-1 + 2)

m = -26/1

m = -26

Understand?

3 0

3 years ago